harmonise vs compose

harmonise and compose both are verbs.

Word	Noun	Adjective	Verb	Adverb
harmonise	No	No	Yes	No
compose	No	No	Yes	No

As verbs, compose is a hypernym of harmonise; that is, compose is a word with a broader meaning than harmonise:

Other hypernyms of harmonise include write.

harmonise (verb)	compose (verb)
bring into consonance, harmony, or accord while making music or singing	make up plans or basic details for
bring into consonance or accord	produce a literary work
bring (several things) into consonance or relate harmoniously	write music
sing or play in harmony	put together out of existing material
write a harmony for	calm (someone, especially oneself); make quiet
go together	form the substance of